Seconds Of Arc Conversion

Protractors are often used to measure angle

The second of arc is a unit used to measure angle. Use one of the conversion calculators below to convert to another unit of measure, or read on to learn more about seconds of arc.

Second Of Arc Conversion Calculators

Choose a unit of angle to convert to.

Convert seconds of arc to radians
1 second of arc is equal to 4.8481E-6 radians
Convert seconds of arc to milliradians
1 second of arc is equal to 0.004848 milliradians
Convert seconds of arc to degrees
1 second of arc is equal to 0.000278 degrees
Convert seconds of arc to minutes of arc
1 second of arc is equal to 0.016667 minutes of arc
Convert seconds of arc to gradians
1 second of arc is equal to 0.000309 gradians
Convert seconds of arc to revolutions
1 second of arc is equal to 7.716E-7 revolutions
Convert seconds of arc to circles
1 second of arc is equal to 7.716E-7 circles
Convert seconds of arc to mils (NATO)
1 second of arc is equal to 0.004938 mils (NATO)

Second Of Arc Definition and Usage

The second of arc is a unit of angle equal to 1/60th of one minute of arc or 1/3,600 of one degree.

A second of arc is sometimes also referred to as an arc second or arcsecond. Seconds of arc can be abbreviated as arcsec, and are also sometimes abbreviated as asec. For example, 1 second of arc can be written as 1 arcsec or 1 asec.

The second of arc is most commonly expressed using a double prime (″), though a double quote is often used as well. For example, 1 second of arc is most often written as 1″.

Uses

Arc seconds are commonly used with arc minutes and degrees. They’re used frequently in astronomy, navigation, altitude, latitude, and longitude measurements.

Seconds Of Arc Measurement Conversion Table

Common second of arc values and equivalent imperial and metric angle measurements
seconds of arc radians milliradians degrees minutes of arc gradians revolutions circles mils (NATO)
1" 0.0000048481 rad 0.004848 mrad 0.000278° 0.016667' 0.000309g 0.0000007716 r 0.0000007716 cir 0.004938 mil
2" 0.0000096963 rad 0.009696 mrad 0.000556° 0.033333' 0.000617g 0.0000015432 r 0.0000015432 cir 0.009877 mil
3" 0.000014544 rad 0.014544 mrad 0.000833° 0.05' 0.000926g 0.0000023148 r 0.0000023148 cir 0.014815 mil
4" 0.000019393 rad 0.019393 mrad 0.001111° 0.066667' 0.001235g 0.0000030864 r 0.0000030864 cir 0.019753 mil
5" 0.000024241 rad 0.024241 mrad 0.001389° 0.083333' 0.001543g 0.000003858 r 0.000003858 cir 0.024691 mil
6" 0.000029089 rad 0.029089 mrad 0.001667° 0.1' 0.001852g 0.0000046296 r 0.0000046296 cir 0.02963 mil
7" 0.000033937 rad 0.033937 mrad 0.001944° 0.116667' 0.00216g 0.0000054012 r 0.0000054012 cir 0.034568 mil
8" 0.000038785 rad 0.038785 mrad 0.002222° 0.133333' 0.002469g 0.0000061728 r 0.0000061728 cir 0.039506 mil
9" 0.000043633 rad 0.043633 mrad 0.0025° 0.15' 0.002778g 0.0000069444 r 0.0000069444 cir 0.044444 mil
10" 0.000048481 rad 0.048481 mrad 0.002778° 0.166667' 0.003086g 0.000007716 r 0.000007716 cir 0.049383 mil
11" 0.00005333 rad 0.05333 mrad 0.003056° 0.183333' 0.003395g 0.0000084877 r 0.0000084877 cir 0.054321 mil
12" 0.000058178 rad 0.058178 mrad 0.003333° 0.2' 0.003704g 0.0000092593 r 0.0000092593 cir 0.059259 mil
13" 0.000063026 rad 0.063026 mrad 0.003611° 0.216667' 0.004012g 0.000010031 r 0.000010031 cir 0.064198 mil
14" 0.000067874 rad 0.067874 mrad 0.003889° 0.233333' 0.004321g 0.000010802 r 0.000010802 cir 0.069136 mil
15" 0.000072722 rad 0.072722 mrad 0.004167° 0.25' 0.00463g 0.000011574 r 0.000011574 cir 0.074074 mil
16" 0.00007757 rad 0.07757 mrad 0.004444° 0.266667' 0.004938g 0.000012346 r 0.000012346 cir 0.079012 mil
17" 0.000082418 rad 0.082418 mrad 0.004722° 0.283333' 0.005247g 0.000013117 r 0.000013117 cir 0.083951 mil
18" 0.000087266 rad 0.087266 mrad 0.005° 0.3' 0.005556g 0.000013889 r 0.000013889 cir 0.088889 mil
19" 0.000092115 rad 0.092115 mrad 0.005278° 0.316667' 0.005864g 0.00001466 r 0.00001466 cir 0.093827 mil
20" 0.000096963 rad 0.096963 mrad 0.005556° 0.333333' 0.006173g 0.000015432 r 0.000015432 cir 0.098765 mil